| 阶乘幂的差分算子及其逆 |
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| 引用本文： | 孙建新,胡金杰.阶乘幂的差分算子及其逆[J].绍兴文理学院学报,2005(1). |
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| 作者姓名： | 孙建新 胡金杰 |
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| 作者单位： | 绍兴文理学院数学系 浙江绍兴312000
(孙建新)，绍兴文理学院数学系 浙江绍兴312000(胡金杰) |
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| 摘 要： | 与微分算子及其逆算子积分算子作比较,讨论了差分算子及其逆算子(和分).主要结果为关于乘积的k-阶差分的Leibniz公式(定理6.3)以及乘积的k-阶和分的对偶公式(定理6.4).显然,差分算子及其逆算子是阶乘幂多项式的方便工具.
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| 关 键 词： | 差分算子 逆算子 Lobniz公式 阶乘幂多项式 |
The Difference Operator of Factorial Power and Its Inverse |
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| Sun Jianxin Hu Jinjie.The Difference Operator of Factorial Power and Its Inverse[J].Journal of Shaoxing College of Arts and Sciences,2005(1). |
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| Authors: | Sun Jianxin Hu Jinjie |
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| Abstract: | In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper. The main results are the Leibniz' formula of difference of k - order of product( Th. 6.3 ) and its dual form - the formula of sum of k - order of product ( Th . 6.4) . Clearly, the difference operator or sum operator is the convenient tool for the polynomial of factorial powers. |
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| Keywords: | difference operator inverse operator Leibniz' formula polynomial of factorial power |
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